Systems and methods are provided for performing medical imaging analysis. Input medical imaging data is received for performing a particular one of a plurality of medical imaging analyses. An output that provides a result of the particular medical imaging analysis on the input medical imaging data is generated using a neural network trained to perform the plurality of medical imaging analyses. The neural network is trained by learning one or more weights associated with the particular medical imaging analysis using one or more weights associated with a different one of the plurality of medical imaging analyses. The generated output is outputted for performing the particular medical imaging analysis.
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1. A method for performing medical imaging analysis, comprising:
training a neural network by learning a set of weights for each node of the neural network, the weights in the set of weights for each node having a hierarchical relationship such that a weight at a top level of the hierarchical relationship is associated with each of a plurality of medical imaging analyses and weights at a bottom level of the hierarchical relationship are each associated with a respective one of the plurality of medical imaging analyses, wherein the set of weights for each node comprises:
a hypernet weight comprising the weight at the top level of the hierarchical relationship;
one or more ultranet weights each associated with a modality and one or more ultranet weights each associated with an anatomy;
one or more supernet weights each associated with a modality and an anatomy; and
a plurality of target network weights comprising the weights at the bottom level of the hierarchical relationship;
receiving input medical imaging data for performing a particular one of the plurality of medical imaging analyses;
generating an output that provides a result of the particular medical imaging analysis on the input medical imaging data using the neural network trained to perform the plurality of medical imaging analyses, wherein the neural network is trained by learning one or more weights associated with the particular medical imaging analysis using one or more weights associated with a different one of the plurality of medical imaging analyses; and
outputting the generated output for performing the particular medical imaging analysis.
8. An apparatus for performing medical imaging analysis, comprising:
means for training a neural network by learning a set of weights for each node of the neural network, the weights in the set of weights for each node having a hierarchical relationship such that a weight at a top level of the hierarchical relationship is associated with each of a plurality of medical imaging analyses and weights at a bottom level of the hierarchical relationship are each associated with a respective one of the plurality of medical imaging analyses, wherein the set of weights for each node comprises:
a hypernet weight comprising the weight at the top level of the hierarchical relationship;
one or more ultranet weights each associated with a modality and one or more ultranet weights each associated with an anatomy;
one or more supernet weights each associated with a modality and an anatomy; and
a plurality of target network weights comprising the weights at the bottom level of the hierarchical relationship;
means for receiving input medical imaging data for performing a particular one of the plurality of medical imaging analyses;
means for generating an output that provides a result of the particular medical imaging analysis on the input medical imaging data using the neural network trained to perform the plurality of medical imaging analyses, wherein the neural network is trained by learning one or more weights associated with the particular medical imaging analysis using one or more weights associated with a different one of the plurality of medical imaging analyses; and
means for outputting the generated output for performing the particular medical imaging analysis.
11. A non-transitory computer readable medium storing computer program instructions for performing medical imaging analysis, the computer program instructions when executed by a processor cause the processor to perform operations comprising:
training a neural network by learning a set of weights for each node of the neural network, the weights in the set of weights for each node having a hierarchical relationship such that a weight at a top level of the hierarchical relationship is associated with each of a plurality of medical imaging analyses and weights at a bottom level of the hierarchical relationship are each associated with a respective one of the plurality of medical imaging analyses, wherein the set of weights for each node comprises:
a hypernet weight comprising the weight at the top level of the hierarchical relationship;
one or more ultranet weights each associated with a modality and one or more ultranet weights each associated with an anatomy;
one or more supernet weights each associated with a modality and an anatomy; and
a plurality of target network weights comprising the weights at the bottom level of the hierarchical relationship;
receiving input medical imaging data for performing a particular one of the plurality of medical imaging analyses;
generating an output that provides a result of the particular medical imaging analysis on the input medical imaging data using the neural network trained to perform the plurality of medical imaging analyses, wherein the neural network is trained by learning one or more weights associated with the particular medical imaging analysis using one or more weights associated with a different one of the plurality of medical imaging analyses; and
outputting the generated output for performing the particular medical imaging analysis.
2. The method of
3. The method of
4. The method of
cascading weights at a higher level of the hierarchical relationship to learn weights at a lower level of the hierarchical relationship associated with a same modality and/or anatomy.
5. The method of
combining weights for a first node in the neural network that are associated with at least one of a same modality, anatomy, and task to form a combined weight; and
learning weights for a second node in the neural network using the combined weight.
6. The method of
training the neural network using datasets of training medical imaging data, each of the datasets being associated with a respective one of the plurality of medical imaging analyses and used to train a target network representing a branch of the neural network for performing the respective one of the plurality of medical imaging analyses.
7. The method of
generating output training medical imaging data corresponding to the input training medical imaging data using multi-task learning, the multi-task learning trained based on a relationship learned using an image as an input and an output.
9. The apparatus of
10. The apparatus of
12. The non-transitory computer readable medium of
cascading weights at a higher level of the hierarchical relationship to learn weights at a lower level of the hierarchical relationship associated with a same modality and/or anatomy.
13. The non-transitory computer readable medium of
combining weights for a first node in the neural network that are associated with at least one of a same modality, anatomy, and task to form a combined weight; and
learning weights for a second node in the neural network using the combined weight.
14. The non-transitory computer readable medium of
training the neural network using datasets of training medical imaging data, each of the datasets being associated with a respective one of the plurality of medical imaging analyses and used to train a target network representing a branch of the neural network for performing the respective one of the plurality of medical imaging analyses.
15. The non-transitory computer readable medium of
generating output training medical imaging data corresponding to the input training medical imaging data using multi-task learning, the multi-task learning trained based on a relationship learned using an image as an input and an output.
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This application claims the benefit of U.S. Provisional Application No. 62/456,368, filed Feb. 8, 2017, the disclosure of which is herein incorporated by reference in its entirety.
The present invention relates generally to medical imaging analysis, and more particularly to a hierarchical approach for exploiting commonalities in different medical imaging analyses.
Medical imaging analysis involves extracting information from medical imaging data for performing medical tasks, such as landmark detection, anatomy detection, lesion detection, anatomy segmentation, segmentation and characterization, cross-modality image registration, image de-noising, etc. Machine learning methods have been widely used for the automation of medical imaging analysis. By learning relationships from a large database of annotated training imaging data, machine learning methods are able to extract representative features from medical imaging data and make meaningful predictions. Recently, neural networks (NNs), and in particular convolutional neural networks (CNNs), have been widely used in medical imaging analysis. A CNN is primarily characterized by its network architecture, which specifies how to stack layers of convolution pooling into one computational entity, and kernel coefficients associated with the convolution layers. Conventional CNNs are constructed (with their own network architecture) and learned (with their own kernel coefficients) to perform a specific medical imaging analysis associated with a specific modality, anatomy, and task.
Conventional CNNs developed for performing a specific medical imaging analysis do not take into account commonalities inherent among different medical imaging analyses. For example, such commonalities may include the imaging modality, target anatomical structure, and low-level features (e.g., Gabor-like features commonly found in the kernels belonging to the early CNN convolution layers).
In accordance with one or more embodiments, systems and methods are provided for performing medical imaging analysis. Input medical imaging data is received for performing a particular one of a plurality of medical imaging analyses. An output that provides a result of the particular medical imaging analysis on the input medical imaging data is generated using a neural network trained to perform the plurality of medical imaging analyses. The neural network is trained by learning one or more weights associated with the particular medical imaging analysis using one or more weights associated with a different one of the plurality of medical imaging analyses. The generated output is outputted for performing the particular medical imaging analysis.
In accordance with one or more embodiments, each of the plurality of medical analyses is associated with a different modality, anatomy, and/or task. The task comprises at least one of detection, recognition, segmentation, and registration.
In accordance with one or more embodiments, the neural network is trained by learning a set of weights for each node of the neural network. The weights in the set of weights for each node have a hierarchical relationship such that a weight at a top level of the hierarchical relationship is associated with each of the plurality of medical imaging analyses and weights at a bottom level of the hierarchical relationship are each associated with a respective one of the plurality of medical imaging analyses.
In accordance with one or more embodiments, the set of weights for each node includes: a hypernet weight comprising the weight at the top level of the hierarchical relationship, one or more ultranet weights each associated with a modality and one or more ultranet weights each associated with an anatomy, one or more supernet weights each associated with a modality and an anatomy, and a plurality of target network weights comprising the weights at the bottom level of the hierarchical relationship.
In accordance with one or more embodiments, the set of weights for each node of the neural network are learned by cascading weights at a higher level of the hierarchical relationship to learn weights at a lower level of the hierarchical relationship associated with a same modality and/or anatomy. In another embodiment, the set of weights for each node of the neural network are learned by combining weights for a first node in the neural network that are associated with at least one of a same modality, anatomy, and task to form a combined weight; and learning weights for a second node in the neural network using the combined weight.
In accordance with one or more embodiments, the neural network is trained using datasets of training medical imaging data. Each of the datasets are associated with a respective one of the plurality of medical imaging analyses and used to train a target network representing a branch of the neural network for performing the respective one of the plurality of medical imaging analyses. The datasets of training medical imaging data include input training medical imaging data. Output training medical imaging data is generated corresponding to the input training medical imaging data using multi-task learning, the multi-task learning trained based on a relationship learned using an image as an input and an output
These and other advantages of the invention will be apparent to those of ordinary skill in the art by reference to the following detailed description and the accompanying drawings.
The present invention generally relates to a hierarchical learning of weights of a neural network to exploit commonalities between different medical imaging analyses performed by the neural network. Embodiments of the present invention are described herein to give a visual understanding of methods for optimizing contrast imaging of a patient. A digital image is often composed of digital representations of one or more objects (or shapes). The digital representation of an object is often described herein in terms of identifying and manipulating the objects. Such manipulations are virtual manipulations accomplished in the memory or other circuitry/hardware of a computer system. Accordingly, is to be understood that embodiments of the present invention may be performed within a computer system using data stored within the computer system.
Further, it should be understood that while the embodiments discussed herein may be described with respect to learning a neural network for medical imaging analysis of a patient, the present invention is not so limited. Embodiments of the present invention may be applied for performing any type of analysis on any subject using a neural network.
Workstation 102 may receive medical imaging data from medical imaging system 112 imaging a subject 118 (e.g., a patient) for assisting a clinician (or other user) for performing one or more medical imaging analyses. Medical imaging system 112 may be of any modality, such as, e.g., x-ray, magnetic resonance imaging (MRI), computed tomography (CT), ultrasound (US), single-photon emission computed tomography (SPECT), positron emission tomography (PET), or any other suitable modality or combination of modalities. In one embodiment, the medical imaging data is received directly from the medical imaging system 112 imaging subject 118. In another embodiment, the medical imaging data is received by loading previously stored imaging data of subject 118.
As discussed herein, medical imaging analysis refers to the analysis of medical imaging data of a particular modality for a target anatomy to perform one or more medical tasks. It should be understood that the embodiments described herein may relate to any type of medical imaging analysis, comprising any combination of modality, anatomy, and task. Illustrative examples of the one or more medical tasks include, e.g., detection, recognition, segmentation, or image registration. The modality of the medical imaging data may include, e.g., x-ray, MRI, CT, US, SPECT, PET, etc. The anatomy may include, e.g., liver, lung, kidney, etc. The medical imaging analysis may be performed using a neural network trained to predict outcomes associated with a modality, anatomy, and task from newly input medical imaging data of a patient.
Conventionally, a neural network is constructed with a particular network architecture and learned with its own kernel coefficients to predict outcomes to perform a particular medical imaging analysis (i.e., a specific modality, anatomy, and task). However, such conventional neural networks are unable to utilize the commonalties inherent among different medical imaging analyses.
Advantageously, embodiments discussed herein describe a single neural network configured to predict outcomes to perform a plurality of different medical imaging analyses, thereby exploiting commonalities amongst them. Such commonalities may arise from, e.g., the imaging modality, the target anatomical structure, and low level features (e.g., Gabor-like features).
Medical imaging analysis is performed using newly input medical imaging data (e.g., one or more medical images) of a patient by applying neural network 200. Based on the medical imaging analysis being performed (i.e., based on the particular task, modality, and anatomy), a target network of neural network 200 is applied to perform the analysis. As discussed herein, the target network of neural network 200 refers to a path or branch representing a subset of nodes in neural network 200 associated with a particular modality, anatomy, and task for performing the particular medical imaging analysis.
Consider the following exemplary medical imaging analyses to be performed using neural network 200: liver detection from CT, liver segmentation from CT, lung detection from CT, liver segmentation from MR, and left kidney detection from MR. A new terminology is introduced: Net.Modality.Anatomy.Task, or Net. MAT, to denote a target network for performing medical imaging analysis associated with medical task T (where T=detection, recognition, segmentation, registration, etc.) related to target anatomical structure A (where A=liver, lung, left kidney, etc.) using image modality M (where M=CT, MR, PET, etc.). In the medical imaging analyses above, the target networks are denoted according to the defined terminology as Net.CT.Liver.Det, Net.CT.Liver.Seg, Net.CT.Lung.Det, Net.MR.Liver.Seg, Net.MR.LKidney.Det, respectively.
In one embodiment, neural network 200 is trained by learning a set or vector of weights associated with each node according to a hierarchical relationship. Accordingly, a weight at a top of the hierarchical relationship is associated with all medical imaging analyses that neural network 200 is trained to perform (i.e., all modalities, anatomies, and tasks) while weights at a bottom of the hierarchical relationship are associated with a respective one of the medical imaging analyses (i.e., a specific modality, anatomy, and task). Such a hierarchical relationship allows weights to be learned for all medical imaging analyses together, thereby leveraging training data associated with one medical imaging analysis to be used in performing another medical imaging analysis due to commonalities in, e.g., modality and/or anatomy between the medical imaging analyses.
In one embodiment, the hierarchical structure is denoted, from narrowest (bottom level) to broadest (top level), as: the target network Net.MAT, SuperNet, UltraNet, and HyperNet. It should be understood that the hierarchical structure described herein may be modified to provide deeper or shallower hierarchy (e.g., to remove or add new commonalities of interest), or be adopted for applications outside of medical imaging.
A SuperNet is denoted by the terminology SuperNet.Modality.Anatomy, or SuperNet.MA. A SuperNet constitutes the common portion among different tasks T for a same modality M and a same anatomy A. For example, the SuperNet.CT.Liver is shared by Net.CT.Liver.Det and Net.CT.Liver.Seg.
An UltraNet constitutes the common part among different SuperNets for a modality M or an anatomy A. In particular, the UltraNet.Modality, or UNet.M, constitutes the common part among different SuperNets related to the same modality M, regardless of anatomy A (or task T). The UltraNet.Anatomy, or UNet.A, constitutes the common part among different SuperNets related to a same anatomy A, regardless of modality M (or task T). For example, the UltraNet.CT is shared by SuperNet.CT.Liver and SuperNet.CT.Lung. In another example, the UltraNet.Liver is shared by SuperNet.CT.Liver and SuperNet.MR.Liver.
A HyperNet, or HNet, constitutes the common part among all UltraNets. The HyperNet may capture the low-level features, such as, e.g., Gabor-like features commonly found in kernels belonging to early CNN layers. There is only one HyperNet in the neural network for all medical imaging analyses (i.e., all modalities, all anatomies, and all tasks).
The target network, Net. MAT, represents a path or branch in neural network 200 associated with a particular modality, anatomy, and task for performing the particular medical imaging analysis. Mathematically, the target network Net.MAT for a medical procedure takes the form: Net(x; WH, WM, WA, WMAWMAT) where WH, is the kernel weights for the HNet, WM is the kernel weights for UNet.M, WA is the kernel weights for UNet.A, WMA is the kernel weights for SNet.MA, and WMAT is the kernel weights for the remaining part of Net.MAT.
The method of
During training stage 300, at step 302, an output is defined for each of a plurality of medical imaging analyses. The solutions or results for many medical imaging analyses are often not images. For example, anatomical landmark detection typically results in coordinates of a landmark location in the input image, while anatomy detection typically results in a pose (e.g., position, orientation, and scale) of a bounding box surrounding an anatomical object of interest in the input image.
In one embodiment, an output is defined for each of the plurality of medical imaging analyses that provides the result of that medical imaging analysis in the form of an image. In one possible implementation, the output for a particular medical imaging analysis can be automatically defined, for example by selecting a stored predetermined output format corresponding to the particular medical imaging analysis. In another possible implementation, user input can be received for selecting or defining an output format for a particular medical imaging analysis.
Any suitable format may be defined for each of the medical imaging analyses as is known in the art. In one embodiment, where the medical imaging analysis is landmark detection, the output is an image having a mask in which pixel locations of the landmark have a value of 1 and all other pixel locations have a value of 0. In another embodiment, where the medical imaging analysis is image registration, the output is an image of a deformation field. In another embodiment, where the medical imaging analysis is segmentation, the output is an image mask in which the pixels of the segmented object have a value 1 and others 0. In another embodiment, where the medical imaging analysis is recognition, the output is a multi-class label.
At step 304, datasets of input training medical imaging data are received. Each of the datasets are associated with one of a plurality of medical imaging analyses, and are therefore associated with a particular modality, anatomy, and task. It should be understood that at least some of the input training medical imaging data in the datasets may be associated with multiple datasets. The datasets of input training medical imaging data may be received by loading a number of previously stored input datasets of training medical imaging data from a database of medical images.
At step 306, output training medical imaging data is generated or received for the corresponding input training medical imaging data. In one embodiment, the output training medical imaging data may received with the datasets of input training medical imaging data (e.g., at a same time) at step 304. In another embodiment, the output training medical imaging data may be generated automatically or semi-automatically from the received input training medical imaging data based on, e.g., user input received via a user input device (e.g., mouse, touchscreen, etc.), existing algorithms (e.g., transfer learning or multitask learning), etc.
In one embodiment, the output training medical imaging data is generated using multi-task learning.
For the self-reconstruction module G2, the amount of images available for training is almost unbounded. The overall multi-task learning network may learn from the whole universe of images from this domain. The features learned in this manner will have to be generic to this domain. This can greatly improve the generalization capability of this network, and thus the subpart of the network (i.e., analysis-specific module F2) will benefit.
In one embodiment, the multi-task learning framework 400 may be extended by equipping it with adversarial discriminators as shown in
Returning back to step 306 of
In accordance with the terminology defined herein, each dataset of training medical imaging data is denoted as DataSet.Modality.Anatomy.Task, or DataSet.MAT, to indicate the medical imaging analysis that the dataset is to be used for training the target network, Net.MAT. Accordingly, such annotation defines the nodes of the target network Net. MAT that the dataset is used to train.
At step 308, a neural network is trained to perform the plurality of medical imaging analyses based on the datasets of input training medical imaging data and the corresponding output training medical imaging data. The neural network is represented as a plurality of nodes each associated with a set or vector of weights. The weights in the set of weights correspond to the hierarchical structure of networks, such that each vector of weight includes a weight WH for the HNet, weight WM for UNet.M, weight WA for UNet.A, weight WMA for SNet.MA, and weight WMAT for the remaining part of Net.MAT. The hierarchical structure allows for weights at a top level of the hierarchy (i.e., WH) to be used for learning weights further down the hierarchy (e.g., WM, WA, and WMAT). Accordingly, datasets of training medical imaging data associated with one medical imaging analysis can be used for learning weights associated with a different medical imaging analysis.
Mathematically, the neural network is trained to perform the plurality of medical imaging analyses by minimizing the following combined loss function:
L=ΣMATλMATΣiLOSSMAT(Net(xMATi;WH,WM,WA,WMA,WMAT),yMAT1) (Equation 1)
The loss function, LOSSMAT(·) is specific to a particular medical imaging analysis. In one embodiment, LOSSMAT(·) calculates an error or difference between predicted outcomes and the ground truth outcomes for the pairs {(xMATi,yMATi)} of training images i associated with this particular medical imaging analysis. The coefficient λMAT is a linear weight.
Advantageously, the hierarchical structuring of the networks, and their associated weights, allows datasets of training medical imaging data associated with one medical imaging analysis to be used for learning weights associated with a different medical imaging analysis based on the commonalities between the medical imaging analyses (e.g., modality, anatomy, or task). In other words, weights at associated with different hierarchical levels may be shared between other hierarchical levels in the hierarchical structure or other nodes or layers in the neural network. For example, medical imaging analyses for liver detection from CT and liver segmentation from CT may both be leveraged for learning weight WA, which in turn may be leveraged for learning WMA and WMAT in some embodiments, even though the modalities and the tasks are different. The weights associated with networks in the hierarchical structure may be shared using any suitable approach. In one embodiment, the weights may be shared according to a cascade sharing mechanism, as further discussed below with reference to
During testing stage 310, at step 312, input medical imaging data is received for performing one of the plurality of medical imaging analyses. The input medical imaging data may be one or more unlabeled medical image for performing the medical imaging analysis. Depending on the medical imaging analysis to be performed, the input medical imaging data may be a set of medical images. The input medical imaging data includes an indication of the medical imaging analysis to be performed, such as an annotation of the target network Net.MAT. The input medical imaging data may be received directly from a medical imaging system (e.g., medical imaging system 112 in
At step 314, an output that provides a result of the medical imaging analysis is generated from the input medical imaging data using the neural network trained at training stage 300. In particular, based on the weight WMAT learned for each node during training stage 300 for the target network Net.MAT, an output is found that minimizes Equation 1 for the received input medical imaging data. The output is in a format as defined at step 302 during training stage 300.
At step 316, the generated output, which provides the result of the medical imaging analysis for the input medical imaging data, is output. For example, the generated output can be output by displaying the generated output on a display device of a computer system. The generated output image can also be output by storing the generated output image on a memory or storage of a computer system, or by transmitting the generated output image to a remote computer system.
Advantageously, a set of weights for each node in the neural network are hierarchically learned, thereby allowing for weights associated with different medical imaging analyses (and thus different modalities, anatomies, and/or tasks) to be learned together. The present invention thereby reduces overfitting risk, improves generalization for all learned medical imaging analyses, and allows incremental training for an unseen application by using already learned network modules.
Systems, apparatuses, and methods described herein may be implemented using digital circuitry, or using one or more computers using well-known computer processors, memory units, storage devices, computer software, and other components. Typically, a computer includes a processor for executing instructions and one or more memories for storing instructions and data. A computer may also include, or be coupled to, one or more mass storage devices, such as one or more magnetic disks, internal hard disks and removable disks, magneto-optical disks, optical disks, etc.
Systems, apparatus, and methods described herein may be implemented using computers operating in a client-server relationship. Typically, in such a system, the client computers are located remotely from the server computer and interact via a network. The client-server relationship may be defined and controlled by computer programs running on the respective client and server computers.
Systems, apparatus, and methods described herein may be implemented within a network-based cloud computing system. In such a network-based cloud computing system, a server or another processor that is connected to a network communicates with one or more client computers via a network. A client computer may communicate with the server via a network browser application residing and operating on the client computer, for example. A client computer may store data on the server and access the data via the network. A client computer may transmit requests for data, or requests for online services, to the server via the network. The server may perform requested services and provide data to the client computer(s). The server may also transmit data adapted to cause a client computer to perform a specified function, e.g., to perform a calculation, to display specified data on a screen, etc. For example, the server may transmit a request adapted to cause a client computer to perform one or more of the steps of the methods and workflows described herein, including one or more of the steps of
Systems, apparatus, and methods described herein may be implemented using a computer program product tangibly embodied in an information carrier, e.g., in a non-transitory machine-readable storage device, for execution by a programmable processor; and the method and workflow steps described herein, including one or more of the steps of
A high-level block diagram 800 of an example computer that may be used to implement systems, apparatus, and methods described herein is depicted in
Processor 804 may include both general and special purpose microprocessors, and may be the sole processor or one of multiple processors of computer 802. Processor 804 may include one or more central processing units (CPUs), for example. Processor 804, data storage device 812, and/or memory 810 may include, be supplemented by, or incorporated in, one or more application-specific integrated circuits (ASICs) and/or one or more field programmable gate arrays (FPGAs).
Data storage device 812 and memory 810 each include a tangible non-transitory computer readable storage medium. Data storage device 812, and memory 810, may each include high-speed random access memory, such as dynamic random access memory (DRAM), static random access memory (SRAM), double data rate synchronous dynamic random access memory (DDR RAM), or other random access solid state memory devices, and may include non-volatile memory, such as one or more magnetic disk storage devices such as internal hard disks and removable disks, magneto-optical disk storage devices, optical disk storage devices, flash memory devices, semiconductor memory devices, such as erasable programmable read-only memory (EPROM), electrically erasable programmable read-only memory (EEPROM), compact disc read-only memory (CD-ROM), digital versatile disc read-only memory (DVD-ROM) disks, or other non-volatile solid state storage devices.
Input/output devices 808 may include peripherals, such as a printer, scanner, display screen, etc. For example, input/output devices 808 may include a display device such as a cathode ray tube (CRT) or liquid crystal display (LCD) monitor for displaying information to the user, a keyboard, and a pointing device such as a mouse or a trackball by which the user can provide input to computer 802.
Any or all of the systems and apparatus discussed herein, including elements of workstation 102 of
One skilled in the art will recognize that an implementation of an actual computer or computer system may have other structures and may contain other components as well, and that
The foregoing Detailed Description is to be understood as being in every respect illustrative and exemplary, but not restrictive, and the scope of the invention disclosed herein is not to be determined from the Detailed Description, but rather from the claims as interpreted according to the full breadth permitted by the patent laws. It is to be understood that the embodiments shown and described herein are only illustrative of the principles of the present invention and that various modifications may be implemented by those skilled in the art without departing from the scope and spirit of the invention. Those skilled in the art could implement various other feature combinations without departing from the scope and spirit of the invention.
Yang, Dong, Zhou, Shaohua Kevin, Xu, Daguang, Miao, Shun, Zhang, He, Xu, Zhoubing, Chen, Mingqing
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